eprintid: 13936
rev_number: 12
eprint_status: archive
userid: 3588
dir: disk0/00/01/39/36
datestamp: 2014-11-12 08:20:54
lastmod: 2015-08-15 10:11:10
status_changed: 2014-11-12 08:20:54
type: article
metadata_visibility: show
title: On inner dilatations of the mappings with unbounded characteristic
language: english
abstract: For the mappings f : D → D
�
, D, D
� ⊂ Rn, n ≥ 2, satisfying certain geometric conditions
in the fixed domain D, we have proved estimates of the form KI (x, f) ≤ Q(x) almost everywhere, where
KI (x, f) is the inner dilatation of f at a point x, and Q(x) is a fixed real-valued function responsible for
the “control” over a distortion of the families of curves in D at a mapping f.
keywords: Mappings with bounded and finite distortion, moduli, capacities.
creators_name: Sevost’yanov, Е. А.
creators_name: Salіmov, R. R.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2011
publication: Journal of Mathematical Sciences
number: 178
pagerange: 97-107
refereed: TRUE
citation:   Sevost’yanov, Е. А., Salіmov, R. R.  (2011) On inner dilatations of the mappings with unbounded characteristic.  Journal of Mathematical Sciences (178).  с. 97-107.      
document_url: http://eprints.zu.edu.ua/13936/1/J_Math_Sci.pdf